SOLUTION: given the problem: x^2-4x=8 A. complete the trinominal square (remember that whatever you do to the left side, of the equation, you must also do to the right side.) B. solve

Algebra ->  Equations -> SOLUTION: given the problem: x^2-4x=8 A. complete the trinominal square (remember that whatever you do to the left side, of the equation, you must also do to the right side.) B. solve       Log On


   



Question 255631: given the problem: x^2-4x=8
A. complete the trinominal square (remember that whatever you do to the left side, of the equation, you must also do to the right side.)
B. solve the equations from A. express your answer in simplest radical form.

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the equation:
x%5E2-4x=8
PART A -
step 1 = rewrite the equation as
x%5E2+-+4x+%2B+___+=+8+%2B+____
The blanks are waiting for numbers.
step 2 - take 1/2 of middle term and square it to get (-2)^2 = 4. Put that number in the first blank as:
x%5E2+-+4x+%2B+%28-2%29%5E2+=+8+%2B+_____
step 3 - place 4 in the blank of the other side as
x%5E2+-+4x+%2B+%28-2%29%5E2+=+8+%2B+4
step 4 - rewrite the left side as a quantity squared and simplify the right side to get
%28x-2%29%5E2+=+12
PART B -
take square root of both sides to get
%28x-2%29+=+sqrt%2812%29
add 2 to both sides
x+=+2+%2B+or+-+sqrt%2812%29
x+=+2+%2B+or+-+2sqrt%283%29